How would I solve: x^4=81
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One wonders what the fourth root to each side of the equation is. One could ponder that in some depth, I suppose.
To solve the equation x^4 = 81, you need to find the value of x that satisfies the equation. Let's break down the steps to solve this equation:
Step 1: Take the fourth root of both sides of the equation.
Taking the fourth root eliminates the fourth power on the left side, leaving us with x.
√(x^4) = √81
Simplifying further,
x = ±√(81)
Step 2: Take the square root of 81.
The square root of 81 equals 9 since 9 * 9 = 81.
Therefore, √81 = 9.
Step 3: Substitute the value of √81 into the equation.
x = ±9
Thus, the solution to the equation x^4 = 81 is x = ±9.